Practice Exercise 16: Post Hoc Tests HELP!!!!!!!!!!!!! PLEASE!!!!!!!!!!!!! DUE T

Question

Practice Exercise 16: Post Hoc Tests

HELP!!!!!!!!!!!!! PLEASE!!!!!!!!!!!!! DUE TOMORROW

Use the data from Practice Exercise #14 and conduct a one-way ANOVA. This time specify the following post hoc tests by selecting the Post Hocs option: LSD (Fisher’s LSD), S-N-K (Student-Neuman-Keuls), Tukey (Tukey’s HSD), and Scheffe.

1. Identify which groups are significantly different based on the results of the LSD post hoc test.

2. Identify which groups are significantly different based on the results of the Scheffe post hoc test.

3. Did both post hoc tests agree with respect to which groups were significantly different?

4. Write a statement as it might appear in an article that reports the results of the one-way ANOVA and LSD post hoc test. Practice Exercise 14: One -way Analysis of Variance (ANOVA) Use the One-way ANOVA function in SPSS to answer the questions based on the following scenario. Select Descriptives from the Options menu to obtain the means and standard deviations. (Assume a critical level of significance of .05).

Researchers are interested in determining if the type of medication influences the number of days it takes for symptoms to cease. Thirty-six patients are randomly assigned to receive Brand X, Brand Y, or Brand Z medication. The number of days before symptoms ceased are reported below.

Brand X: 20 30 26 15 13 24 28 19 23 29 17 25

Brand Y: 15 5 23 15 22 23 18 24 19 16 10 6

Brand Z: 14 15 16 20 21 24 14 23 17 11 14 22

1. Write an appropriate null hypothesis for this analysis.

2. What is the mean number of days it takes for symptoms to cease for each brand?

3. What is the standard deviation of the number of days it takes for symptoms to cease for each brand?

4. What is the observed or computed value of F?

5. What is the value for the Between Groups degrees of freedom?

6. What is the value for the Within Groups degrees of freedom?

7. What is the reported level of significance?

8. Based on the reported level of significance, would you reject the null hypothesis?

9. Based on the reported level of significance, would you conclude that there was a statistically significant difference among the three groups?

10. Write a statement as it might appear in an article that reports the results of the one-way ANOVA.

Explanation / Answer

Please Note:

Brand X is named as 1, 2 for brand y and 3 for z

Above is the SPSS result:

1) According to LSD brand 1 with brand 2 and brand 1 with brand 3 are significantly different.

2)  According to Scheffe  brand 1 with brand 3 are significantly different.

3) No their is difference in LSD and Scheffe with respect to which groups were significantly different.

4)

ANOVA results concludes saying that their is a significant difference in group with respect to medications.

(I) Brands (J) Brands Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval Lower Bound Tukey HSD 1 2 5.144 2.321 0.083 -0.550 3 5.724 2.225 0.038 0.264 2 1 2.321 0.083 -10.838 3 0.580 2.277 0.965 -5.008 3 1 -5.724 2.225 0.038 -11.185 2 -0.580 2.277 0.965 -6.169 Scheffe 1 2 5.144 2.321 0.101 -0.804 3 5.724 2.225 0.049 0.020 2 1 -5.144 2.321 0.101 -11.092 3 0.580 2.277 0.968 -5.257 3 1 -5.724 2.225 0.049 -11.429 2 -0.580 2.277 0.968 -6.418 LSD 1 2 5.144 2.321 0.034 0.423 3 5.724 2.225 0.015 1.197 2 1 -5.144 2.321 0.034 -9.865 3 0.580 2.277 0.800 -4.053 3 1 -5.724 2.225 0.015 -10.252 2 -0.580 2.277 0.800 -5.214 *. The mean difference is significant at the 0.05 level.

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